×

A new boundary element approach for contact problems with friction. (English) Zbl 0780.73095

A new boundary element solution algorithm for two-dimensional and axisymmetric contact problems with friction, based on an independent discretization of the contacting surfaces and under static and proportional loading conditions, is presented. The solution procedure uses the element shape functions to distribute the geometry, tractions and displacements on each contact element. The contact constraints are then applied between each contacting node and the opposite contact segment. The overall boundary element matrix equations for the contacting bodies are coupled using the contact conditions at the interface without introducing any additional variables into the solution matrix.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics

Software:

ABAQUS
Full Text: DOI

References:

[1] Miscellaneous Papers-On the Contact of Elastic Solids (translated by D. E. Jones), Macmillan, London, 1996.
[2] Mindlin, Trans. ASME J. Appl. Mech. 39 pp 259– (1949)
[3] Poritsky, Trans. ASME J. Appl. Mech. 17 pp 191– (1950)
[4] Contact Mechanics, Cambridge University Press, Cambridge, 1985. · Zbl 0599.73108 · doi:10.1017/CBO9781139171731
[5] Stadter, Comput. Struct. 10 pp 867– (1979)
[6] Ostachowicz, Comput. Struct. 18 pp 937– (1984)
[7] Francavilla, Int. j. numer. methods eng. 9 pp 913– (1975)
[8] Sachdeva, Int. j. numer. methods. eng. 17 pp 1257– (1981)
[9] Bathe, Int. j. numer. methods. eng. 21 pp 65– (1985)
[10] Pascoe, Int. j. numer. methods eng. 26 pp 1631– (1988)
[11] and , ’The boundary element method applied to two dimensional contact problems’, in (ed.), New Developments in Boundary Element Methods, CML Publications, Southampton, 1980.
[12] ’The second generation boundary element contact prcgram’, in (ed.), Proc. 4th Int. Seminar on Boundary Element Methods, Springer, Berlin, 1982.
[13] and , ’The boundary element method applied to two dimensional contact problems’, in (ed.), Progress in Boundary Element Methods, Pentech Press, London, 1983. · Zbl 0521.73075
[14] ’A boundary integral equation method for two dimensional elastic contact problems’, Ph.D. Thesis, Imperial College, University of London, 1983.
[15] and , ’A two dimensional boundary element method for thermo-elastic body forces contact problems’, in (ed.), Boundary Elements IX, CMP Publications, Springer, Berlin, 1987.
[16] Abdul-Mihsein, Comput. Struct. 23 pp 787– (1986)
[17] and , ’Contact mechanics using the boundary element method’, in Proc. Int. Conf. on Tribology, Friction, Lubrication and Wear, Institution of Mechanical Engineers, London, 1987, pp. 975-980.
[18] ’A boundary element computer program for practical contact problems’, in (ed.), Modern Practice in Stress and Vibrational Analysis, Peragamon. Oxford, 1989.
[19] Yamazaki, JSME Int. J. 32 pp 508– (1989)
[20] The Boundary Element Method for Engineers, Pentech Press, London, 1978.
[21] and , Boundary Element Methods in Engineering Science, McGraw-Hill, London, 1981. · Zbl 0499.73070
[22] The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems, Springer, Berlin, 1986. · Zbl 0601.73072
[23] The Boundary Element Method in Engineering-A complete course, McGraw-Hill, Maidenhead, 1992.
[24] ABAQUS Version 4.8 Users’ Manual, HKS Inc., Rhode Island, U.S.A.
[25] and , ’Strength assessment of Vulcan diesel engine slave connecting rod’, English Electric Co. Report W/M (1B) 1425, 1968.
[26] White, J. Strain Anal. 5 pp 41– (1970)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.